Chapter 6, Problem 74E

Interpretation Introduction

Interpretation:

To calculate the temperature of hydrogen gas at which ${\text{u}}_{\text{rms}}$ becomes double.

Concept introduction:

The ${\text{u}}_{\text{rms}}$ of any gas molecule can be defined as the root mean square velocity of gaseous molecules. It is used to predict the speed of the molecules in the gas.

The mathematical representation of ${\text{u}}_{\text{rms}}$ is:

${\text{u}}_{\text{rms}}\text{ = }\frac{\sqrt{\text{3RT }}}{\text{M}}$

Where,

• R = gas constant = 8.3145 J/K.mol
• T = Temperature in K
• M = Molar mass ( kg/mol)